What is the answer to 3/(-4+2y)= 5/6 ?

The answer to 3/(-4+2y)= 5/6 is y= 19/5

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3/(-4+2y)= 5/6

\frac{3}{- 4 + 2 y} = \frac{5}{6}

y = \frac{19}{5}

Decimal Notation

y = 3.8

Solution steps

\frac{3}{- 4 + 2 y} = \frac{5}{6}

Cross multiply

18 = (- 4 + 2 y) \cdot 5

Switch sides

(- 4 + 2 y) \cdot 5 = 18

Divide both sides by

5

- 4 + 2 y = \frac{18}{5}

Move

4

to the right side

2 y = \frac{38}{5}

Divide both sides by

2

y = \frac{19}{5}

Verify Solutions

Find undefined (singularity) points:

y = 2

Combine undefined points with solutions:

y = \frac{19}{5}

2 = \frac{x + 7}{x - 6}

a, \frac{b}{a} = c + 3 b

2 = \frac{x + 7}{x - 9}

x^{2} = \frac{1}{x + 3}

x + \frac{1}{x} = 143